On Non-Invariant Hypersurfaces of I-Lorentzian Trans-Sasakian Manifolds

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Puneet Kumar Gupt
Puneet Kumar Gupt
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Shyam Kishor
Shyam Kishor
Ξ± University of Lucknow University of Lucknow

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On Non-Invariant Hypersurfaces of I-Lorentzian Trans-Sasakian Manifolds

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Abstract

The object of the present paper is to study non-invariant Hypersurfaces of 𝛿𝛿-Lorentzian trans-Sasakian Manifolds equipped with ( )-structure and some properties obeyed by this structure are obtained also. The necessary and sufficient conditions have been otained for totally umbilical non-invariant hypersurfaces with ( ) -structure of 𝛿𝛿-Lorentzian trans-Sasakian Manifold to be totally geodesic.

References

17 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Puneet Kumar Gupt. 2015. \u201cOn Non-Invariant Hypersurfaces of I-Lorentzian Trans-Sasakian Manifolds\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F6): .

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Issue Cover
GJSFR Volume 15 Issue F6
Pg. 37- 43
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2000: 14J70, 53C20
Version of record

v1.2

Issue date

August 8, 2015

Language
en
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The object of the present paper is to study non-invariant Hypersurfaces of 𝛿𝛿-Lorentzian trans-Sasakian Manifolds equipped with ( )-structure and some properties obeyed by this structure are obtained also. The necessary and sufficient conditions have been otained for totally umbilical non-invariant hypersurfaces with ( ) -structure of 𝛿𝛿-Lorentzian trans-Sasakian Manifold to be totally geodesic.

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On Non-Invariant Hypersurfaces of I-Lorentzian Trans-Sasakian Manifolds

Puneet Kumar Gupt
Puneet Kumar Gupt University of Lucknow
Shyam Kishor
Shyam Kishor

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